Mark and Anson each have a video game collection.

Question

The number of video games in Mark's collection can be represented by g.
The number of video games in Anson's collection is 5 times the number in Mark's collection.
The total number of video games combined is no more than 72.
Which inequality should be used to determine the number of video games (g) in Mark’s collection?

(1 point)
Responses

6g ≤ 72
6g ≤ 72

6g ≥ 72
6g ≥ 72

6g > 72
6g > 72

6g < 72
6g < 72
Question 2
(1 point)
Mark has
12 games in his collection.

Answer 1

To determine the inequality for the number of video games in Mark's collection, we start by defining the number of games that each person has:

Let \( g \) be the number of games Mark has. Anson has 5 times that, so he has \( 5g \) games.

The total number of games combined is: \[ g + 5g = 6g \]

According to the problem, the total number of games combined is no more than 72: \[ 6g \leq 72 \]

Thus, the inequality you should use is: 6g ≤ 72

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For Question 2, if Mark has 12 games in his collection, we can substitute \( g \) with 12 in the inequality to check if it holds true:

\[ 6g = 6 \times 12 = 72 \]

This means the total number of games is exactly 72, which is allowed since the problem states the total can be "no more than" 72. Therefore, Mark's collection being 12 games is valid.